CIE A Level Maths: Pure 3复习笔记7.1.4 Position Vectors

Position Vectors

What is a position vector?

  • Position vectors describe the position of a point in relation to the origin
  • They are different to direction vectors which describe the direction and distance between any two points

11.1.4-Position-Vectors-Diagram-1

Distance between two points

  • The distance between two points is the magnitude of the vector between them (see Magnitude Direction)

11.1.4-Position-Vectors-Diagram-2a

  • For position vectors we can find the distance between two points by using the respective co-ordinates

11.1.4-Position-Vectors-Diagram-2b

Exam Tip

  • Remember if asked for a position vector, you must find the vector all the way from the origin.
  • Diagrams can help, if there isn’t one, draw one.

Worked Example

11.1.4-Position-Vectors-Example-Solution

 

 

 

 

 

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